In this paper, a novel type of voltage control strategy based on internal model robust and compound control is proposed for three/single-phase hybrid multimicrogrid, which is composed of two parts, feedforward control and internal model robust feedback control. Feedforward control is mainly used to improve the dynamic response and reduce the steady-state error of the system. The objective of the internal model robust feedback control system is to achieve the optimization of control performance, robustness, and the ability to suppress disturbances of the whole system. In order to achieve the goal, the design of the internal model robust feedback controller is transformed into solving a convex optimization problem with linear matrix inequality constraints and linear objective functions. The proposed voltage control strategy is verified by a variety of experimental tests. The experimental results show that the controller can get better voltage output characteristics and robustness in dealing with micro-source output power fluctuations, loads abrupt change or nonlinear loads and unbalanced loads.